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Finding the Fourth Proportional to 82,506.54, 123,658.17 and 32,536.38

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Solution

The fourth proportional to 82,506.54, 123,658.17 and 32,536.38 is: 48,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506.54 : 123,658.17 = 32,536.38 : x
  2. Step 2: Convert to fraction form
    82,506.54/123,658.17 = 32,536.38/x
  3. Step 3: Cross multiply
    82,506.54x = 123,658.17 × 32,536.38
  4. Step 4: Simplify right side
    82,506.54x = 4,023,389,209.22
  5. Step 5: Solve for x
    x = 4,023,389,209.22/82,506.54
  6. Step 6: Final answer
    x = 48,764.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.